If the judgments are less then 1 year old, you will be denied for an FHA mortgage. If they are less than one  year old, they are also hurting your scores significantly. It is highly unlikely you will get approved with credit scores in the 580 range. If you have 3 open credit cards now, do not open any more. If you have less than 3, open up another one or two, so that you have a total of three, IF you have six months to go before applying for a mortgage.

Do you have any paid collections showing on your reports? Have you received hard copies of your credit reports to see what negative items are being reported?